Fractions


Dividing Mixed Numbers

When Mixed Numbers are divided, those Mixed Numbers must first be changed to Improper Fractions.

Invert the "divided by" Fraction.

The Numerators are then Multiplied and the Denominators are Multiplied.






2
3
4

÷

1
2
5




Change these Mixed Numbers to Improper Fractions.



2
3
4

=
11
4




1
2
5

=
7
5



11
4

÷
7
5



Invert the Second Fraction, which is the "Divided by Fraction", and then multiply.


11
4

*
5
7



To multiply these Improper Fractions, first multiply the Numerators.

The product of the Numerators becomes the new Numerator.



11
4
*
5
7

=
55




Then multiply the Denominators.

The product of the Denominators becomes the new Denominator.



11
4
*
*
5
7

=
55
28




If the answer is an Improper Fraction, then change the answer to a Mixed Number.



55
28

=

1
27
28






If the resulting Proper Fraction can be reduced, then do so.





2
5
6

÷

1
2
3




2
5
6

=
17
6




1
2
3

=
5
3



17
6

÷
5
3



17
6

*
3
5

=
51
30



51
30

=

1
21
30




1
21
30

=

1
7
10





RULE

Dividing Mixed Numbers

Change any Mixed Numbers to Improper Fractions.

Invert the Second Fraction, which is the "Divided by Fraction"

Multiply the Numerators to find the Numerator of the answer.

Multiply the Denominators to find the Denominator of the answer.

If the answer is an Improper Fraction, then change it to a Mixed Number.

If the Proper Fraction can be Reduced, then do so.